Rational Numbers And Equations Worksheet Page 4
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Writing a Decimal as a Fraction
EXAMPLE
Write −0.26 as a fraction in simplest form.
Write the digits after the decimal
point in the numerator.
26
−0.26
= −
—
100
The last digit is in the hundredths
place. So, use 100 in the denominator.
13
= −
—
Simplify.
50
Write the decimal as a fraction or mixed number in simplest form.
5. −0.7
7. −3.1
8. −10.25
6. 0.125
Exercises 20–27
3 3
Ordering Rational Numbers
EXAMPLE
The table shows the elevations of four sea creatures relative
Creature
Elevations (km)
to sea level. Which of the sea creatures are deeper than the
13
−
whale? Explain.
Anglerfi sh
—
10
Write each rational number as a decimal.
1
−2
Squid
—
5
13
−
= −1.3
—
2
−
10
Shark
—
11
1
−2
= −2.2
—
−0.8
Whale
5
—
2
−
= −0.
—
18
11
Then graph each decimal on a number line.
Squid
Anglerfish
Whale
Shark
−2.2
−1.3
−0.8
−0.18
−2.4
−2.0
−1.6
−1.2
−0.8
−0.4
0
Both −2.2 and −1.3 are less than −0.8. So, the squid and the
anglerfi sh are deeper than the whale.
1
The elevation of a dolphin is −
—
WHAT IF?
kilometer. Which of the
9.
10
sea creatures in Example 3 are deeper than the dolphin? Explain.
Exercises 28–33
Section 2.1
Rational Numbers
53
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